On the existence of topological hairy black holes in SU(N) EYM theory with a negative cosmological constant

BAXTER, Erik (2014). On the existence of topological hairy black holes in SU(N) EYM theory with a negative cosmological constant. General Relativity and Gravitation, 47 (1), p. 1829.

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Official URL: http://link.springer.com/article/10.1007/s10714-01...
Link to published version:: 10.1007/s10714-014-1829-5

Abstract

We investigate the existence of black hole solutions of four dimensional su(N) EYM theory with a negative cosmological constant. Our analysis differs from previous works in that we generalise the field equations to certain non-spherically symmetric spacetimes. We prove the existence of non-trivial solutions for any integer N, with N−1 gauge degrees of freedom. Specifically, we prove two results: existence of solutions for fixed values of the initial parameters and as |Λ|→∞, and existence of solutions for any Λ<0 in some neighbourhood of existing trivial solutions. In both cases we can prove the existence of `nodeless' solutions, i.e. such that all gauge field functions have no zeroes; this fact is of interest as we anticipate that some of them may be stable.

Item Type: Article
Research Institute, Centre or Group: Materials and Engineering Research Institute > Materials Analysis and Research Services
Identification Number: 10.1007/s10714-014-1829-5
Related URLs:
Depositing User: Erik Baxter
Date Deposited: 19 Jan 2016 10:01
Last Modified: 07 Dec 2016 18:58
URI: http://shura.shu.ac.uk/id/eprint/11459

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